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The formula for finding the volume of a square prism is V = s^2 * h, where s is the length of each side of the square base and h is the height of the prism. To find the volume with the given values of s = 4 and h = 6, we simply plug in these values into the formula:
V = s^2 * h
V = 4^2 * 6
V = 16 * 6
V = 96
Therefore, the volume of the square prism with the given dimensions is 96 cubic centimeters.